Results 81 to 90 of about 307 (186)

Deligne-Beilinson Cohomology and Abelian Link Invariants

Symmetry, Integrability and Geometry: Methods and Applications, 2008
For the Abelian Chern-Simons field theory, we consider the quantum functional integration over the Deligne-Beilinson cohomology classes and we derive the main properties of the observables in a generic closed orientable 3-manifold. We present an explicit
Enore Guadagnini, Frank Thuillier
doaj   +1 more source

Schubert defects in Lagrangian Grassmannians

Journal of High Energy Physics
In this paper, we propose a construction of GLSM defects corresponding to Schubert cycles in Lagrangian Grassmannians, following recent work of Closset-Khlaif on Schubert cycles in ordinary Grassmannians.
Wei Gu, Leonardo Mihalcea, Eric Sharpe, Weihong Xu, Hao Zhang, Hao Zou   +5 more
doaj   +1 more source

Symmetry fractionalization and twist defects

New Journal of Physics, 2016
Topological order in two-dimensions can be described in terms of deconfined quasiparticle excitations—anyons—and their braiding statistics. However, it has recently been realized that this data does not completely describe the situation in the presence ...
Nicolas Tarantino, Netanel H Lindner, Lukasz Fidkowski   +2 more
doaj   +1 more source

Cohomology of infinitesimal quantum groups, I

Tohoku Mathematical Journal, 1992
The authors investigate the cohomology of infinitesimal quantum groups (and algebras) associated to classical quantum groups (and algebras) at a root of unity. A main result expresses the Ext-groups between irreducible modules for the Frobenius kernel in terms of those for the full quantum group.
Parshall, Brian, Wang, Jian Pan
openaire   +2 more sources

Quantum cohomology of blowups

, 2023
69 pages, 5 figures, v2: corrected minor errors and added Appendix B, v3: major revision; the main result has been strengthened by eliminating the variables x and y; the initial condition for the decomposition has been clarified; a discussion on the well-definedness of the pullbacks of quantum D-modules has been ...
openaire   +2 more sources

Recent Developments in (0,2) Mirror Symmetry

Symmetry, Integrability and Geometry: Methods and Applications, 2012
Mirror symmetry of the type II string has a beautiful generalization to the heterotic string. This generalization, known as (0,2) mirror symmetry, is a field still largely in its infancy. We describe recent developments including the ideas behind quantum
Ilarion Melnikov, Savdeep Sethi, Eric Sharpe   +2 more
doaj   +1 more source

HIGHER GENUS GROMOV–WITTEN THEORY OF $\mathsf{Hilb}^{n}(\mathbb{C}^{2})$ AND $\mathsf{CohFTs}$ ASSOCIATED TO LOCAL CURVES

Forum of Mathematics, Pi, 2019
We study the higher genus equivariant Gromov–Witten theory of the Hilbert scheme of $n$ points of $\mathbb{C}^{2}$. Since the equivariant quantum cohomology, computed by Okounkov and Pandharipande [Invent. Math.
RAHUL PANDHARIPANDE, HSIAN-HUA TSENG
doaj   +1 more source

The shape of non-graviton operators for SU(2)

Journal of High Energy Physics
The BPS spectrum of AdS/CFT exhibits multi-gravitons at low energies, while having black hole states at higher energies. This can be studied concretely in AdS5/CFT4 in terms of classical cohomologies, even in the quantum regimes at finite 1/N.
Sunjin Choi, Seok Kim, Eunwoo Lee, Jaemo Park   +3 more
doaj   +1 more source

Engineering of anyons on M5-probes via flux quantization

SciPost Physics Lecture Notes
These extended lecture notes survey a novel derivation of anyonic topological order (as seen in fractional quantum Hall systems) on single magnetized M5-branes probing Seifert orbi-singularities ("geometric engineering" of anyons), which we motivate from
Hisham Sati, Urs Schreiber
doaj   +1 more source

Topological Insulators from Group Cohomology

Physical Review X, 2016
We classify insulators by generalized symmetries that combine space-time transformations with quasimomentum translations. Our group-cohomological classification generalizes the nonsymmorphic space groups, which extend point groups by real-space ...
A. Alexandradinata, Zhijun Wang, B. Andrei Bernevig   +2 more
doaj   +1 more source